Comptes Rendus
Some applications of the Faddeev–Yakubovsky equations to the cold-atom physics
Comptes Rendus. Physique, Few body problem, Volume 12 (2011) no. 1, pp. 47-58.

We present some recent applications of the Faddeev–Yakubovsky equations in describing atomic bound and scattering problems. We consider the scattering of a charged particle X by atomic hydrogen with special interest in X=p,e±, systems of cold bosonic molecules and the bound and scattering properties of N=3 and N=4 atomic 4He multimers.

Nous présentons quelques applications récentes des équations de Faddeev–Yakubovsky pour décrire des systèmes atomiques et moléculaires. Nous avons considéré la diffusion d'une particule chargée X par l'atome d'hydrogène avec un intérêt spécial pour les cas X=p,e±, des systèmes de molécules bosoniques ainsi que les propriétés des états liés et de diffusion des N=3 et N=4 atomes d'4He.

Published online:
DOI: 10.1016/j.crhy.2010.12.001
Keywords: Faddeev–Yakubovsky equations, Cold atom physics, Bosonic molecule
Mots-clés : Équations de Faddeev–Yakubovsky, Physique des atomes froids, Molécule bosonique

Jaume Carbonell 1; Arnoldas Deltuva 2; Rimantas Lazauskas 3

1 Laboratoire physique subatomique et cosmologie, université Jospeh-Fourier, CNRS/IN2P3, 53, avenue des Martyrs, 38026 Grenoble cedex, France
2 Centro de Física Nuclear da Universidade de Lisboa, P-1649-003 Lisboa, Portugal
3 IPHC, IN2P3-CNRS/université Louis-Pasteur, BP 28, 67037 Strasbourg cedex 2, France
@article{CRPHYS_2011__12_1_47_0,
     author = {Jaume Carbonell and Arnoldas Deltuva and Rimantas Lazauskas},
     title = {Some applications of the {Faddeev{\textendash}Yakubovsky} equations to the cold-atom physics},
     journal = {Comptes Rendus. Physique},
     pages = {47--58},
     publisher = {Elsevier},
     volume = {12},
     number = {1},
     year = {2011},
     doi = {10.1016/j.crhy.2010.12.001},
     language = {en},
}
TY  - JOUR
AU  - Jaume Carbonell
AU  - Arnoldas Deltuva
AU  - Rimantas Lazauskas
TI  - Some applications of the Faddeev–Yakubovsky equations to the cold-atom physics
JO  - Comptes Rendus. Physique
PY  - 2011
SP  - 47
EP  - 58
VL  - 12
IS  - 1
PB  - Elsevier
DO  - 10.1016/j.crhy.2010.12.001
LA  - en
ID  - CRPHYS_2011__12_1_47_0
ER  - 
%0 Journal Article
%A Jaume Carbonell
%A Arnoldas Deltuva
%A Rimantas Lazauskas
%T Some applications of the Faddeev–Yakubovsky equations to the cold-atom physics
%J Comptes Rendus. Physique
%D 2011
%P 47-58
%V 12
%N 1
%I Elsevier
%R 10.1016/j.crhy.2010.12.001
%G en
%F CRPHYS_2011__12_1_47_0
Jaume Carbonell; Arnoldas Deltuva; Rimantas Lazauskas. Some applications of the Faddeev–Yakubovsky equations to the cold-atom physics. Comptes Rendus. Physique, Few body problem, Volume 12 (2011) no. 1, pp. 47-58. doi : 10.1016/j.crhy.2010.12.001. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2010.12.001/

[1] L.D. Faddeev Sov. Phys. JETP, 39 (1960), p. 1459

[2] O.A. Yakubovsky Sov. J. Nucl. Phys., 5 (1967), p. 937

[3] S.P. Merkuriev Theoret. and Math. Phys., 8 (1971), p. 798

[4] S.P. Merkuriev Sov. J. Nucl. Phys., 19 (1974), p. 22

[5] S.P. Merkuriev; C. Gignoux; A. Laverne Ann. Phys., 99 (1976), p. 30

[6] S.P. Merkuriev; S.D. Yakovlev Theoret. and Math. Phys., 56 (1983), p. 673

[7] S.P. Merkuriev Ann. Phys. (N.Y.), 130 (1980), p. 395

[8] S.P. Merkuriev Acta Phys. Austr. (Suppl.), XXIII (1981), p. 65

[9] A.K. Motovilov Few-Body Syst., 43 (2008), p. 121

[10] S.P. Merkuriev; S.L. Yakovlev; C. Gignoux Nucl. Phys. A, 431 (1984), pp. 125-138

[11] A. Nogga; H. Kamada; W. Glöckle Phys. Rev. Lett., 85 (2000), p. 944

[12] R. Lazauskas; J. Carbonell Phys. Rev. A, 73 (2006), p. 0627178

[13] R. Lazauskas; J. Carbonell Phys. Rev. C, 70 (2004), p. 044002 (nucl-th/04080)

[14] Z. Papp; J. Darai; J.Zs. Mezei; Z.T. Hlousek; C.-Y. Hu Phys. Rev. Lett., 94 (2005), p. 143201

[15] W. Glöckle; H. Witala; D. Hüber; H. Kamada; J. Golak Phys. Rep., 274 (1996), p. 107

[16] Z. Papp; C.-Y. Hu; Z.T. Hlousek; B. Kónya; S.L. Yakovlev Phys. Rev. A, 63 (2001), p. 062721

[17] A.A. Kvitsinsky; J. Carbonell; C. Gignoux Phys. Rev. A, 46 (1992), p. 1310

[18] A.A. Kvitsinsky; J. Carbonell; C. Gignoux Phys. Rev. A, 51 (1995), p. 2997

[19] R. Lazauskas; J. Carbonell Few-Body Syst., 31 (2002), p. 125

[20] I.N. Filikhin; S. Yakovlev Yad. Fiz., 63 (2000) no. 1, p. 69

[21] F. Ciesielski; J. Carbonell Phys. Rev. C, 58 (1998), pp. 58-74

[22] R. Lazauskas; J. Carbonell; A.C. Fonseca; M. Viviani; A. Kievsky; S. Rosati Phys. Rev. C, 71 (2005), p. 034004

[23] A. Deltuva; A.C. Fonseca Phys. Rev. C, 81 (2010), p. 054002

[24] L.D. Faddeev, Mathematical Aspects of the Three-body Problem in Quantum Scattering Theory, Israel Program for Scientific Translations, Jerusalem, 1965.

[25] S.P. Merkuriev; L.D. Faddeev Quantum Scattering, Theory for Systems of Several Particles, Kluwer Academic Publishers, Dordrecht, 1993

[26] B.D. Esry; H.R. Sadeghpour Phys. Rev. A, 67 (2003), p. 012704

[27] R. Lazauskas, PhD thesis, Université Joseph Fourier, Grenoble, 2003, http://tel.ccsd.cnrs.fr/documents/archives0/00/00/41/78/.

[28] W. Glöckle The Quantum Mechanical Few-Body Problem, Springer-Verlag, 1983

[29] N.F. Mott; H.S.W. Massey Theory of Atomic Collisions, Oxford Univ. Press, 1987

[30] L. Hilico; N. Billy; B. Gremaud; D. Delande Eur. Phys. J. D, 12 (2000), p. 449

[31] J. Carbonell; R. Lazauskas; D. Delande; L. Hilico; S. Kiliç Europhys. Lett., 64 (2003), p. 316

[32] J. Carbonell; R. Lazauskas; V. Korobov J. Phys. B, 37 (2004), p. 2997

[33] S.E. Pollack; D. Dries; M. Junker; Y.P. Chen; T.A. Corcovilos; R.G. Hulet Phys. Rev. Lett., 102 (2009), p. 090402

[34] L. Landau; E. Lifshits Mecanique Quantique, Mir, Moscou, 1975

[35] S. Zhou; H. Li; W.E. Kauppila; C.K. Kwan; T.S. Stein Phys. Rev. A, 55 (1997), p. 361

[36] L. Sanche; P.D. Burrow Phys. Rev. Lett., 29 (1972), p. 1139

[37] J. Williams Electron and Photon Interaction with Atoms, Plenum, New York, 1976

[38] C.D. Warner; G.C. King; P. Hammond; J. Slevin Phys. B, 19 (1986), p. 3297

[39] L. Thomas Phys. Rev., 47 (1935), p. 903

[40] V. Efimov Sov. J. Nucl. Phys., 12 (1970), p. 1080

[41] V. Efimov Sov. J. Nucl. Phys., 29 (1979), p. 1058

[42] T. Kraemer et al. Nature, 440 ( 16 March 2006 ), pp. 315-318

[43] M. Zaccanti et al. Nature Phys., 5 (2009), p. 586

[44] N. Gross et al. Phys. Rev. Lett., 103 (2009), p. 163202

[45] S.E. Pollack; D. Dries; R.G. Hulet Science, 326 (2009), p. 1683

[46] T. Lampe, et al., arxiv.org/abs/1006.2241.

[47] E. Braaten; H.-W. Hammer Phys. Rep., 428 (2006), p. 259

[48] M.T. Yamashita; T. Frederico; A. Delfino; L. Tomio Phys. Rev. A, 66 (2002), p. 052702

[49] L. Platter; H.-W. Hammer; U.-G. Meißner Phys. Rev. A, 70 (2004), p. 052101

[50] J. von Stecher; J.P. D'Incao; C.H. Greene Nature Phys., 5 (2009), p. 417

[51] L. Platter; H.-W. Hammer; U.-G. Meißner Phys. Lett. B, 607 (2005), p. 254

[52] D.R. Entem; R. Machleidt Phys. Rev. C, 68 (2003), p. 041001(R)

[53] P. Doleschall Phys. Rev. C, 69 (2004), p. 054001

[54] A. Deltuva Phys. Rev. A, 82 (2010), p. 040701(R)

[55] F. Luo; G.C. McBane; G. Kim; C.F. Giese; W.R. Gentry J. Chem. Phys., 98 (1993), p. 3564

[56] W. Schollkopf; J.P. Toennies Science, 266 (1994), p. 1345

[57] S.P. Merkuriev; A.K. Motovilov; S.D. Yakovlev Theoret. and Math. Phys., 94 (1993), p. 435

[58] R.A. Aziz; M.J. Slaman J. Chem. Phys., 94 (1991) no. 12, p. 8047

Cited by Sources:

Comments - Policy